To find number of notes that Anushka had, complete the following activity. Suppose Anushka had x notes of Rs 100 and y notes of Rs 50 each. Anushka got Rs 2500 from Anand. If Anand had interchanged the number of notes, she would have received Rs ...

To find number of notes that Anushka had, complete the following activity.

Suppose that Anushka had \(x\) notes of ₹ 100 and \(y\) notes of ₹ 50 each.

Anushka got ₹ 2500/- from Anand as denominations mentioned above ∴ ........ equation I

If Anand would have given her the amount by interchanging number of notes, Anushka would have received ₹ 500 less than the previous amount ∴ ........ equation II

∴ The No. of notes (\(\square\), \(\square\))

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: 20 notes of ₹ 100 and 10 notes of ₹ 50

Equation I: \(100x + 50y = 2500\), i.e. \(2x + y = 50\).

Equation II (numbers interchanged): \(100y + 50x = 2500 - 500 = 2000\), i.e. \(x + 2y = 40\).

Multiply equation I by 2: \(4x + 2y = 100\). Subtract equation II: \(3x = 60\), \(x = 20\). Then \(y = 50 - 40 = 10\).

Check: \(100(20) + 50(10) = 2500\) and \(100(10) + 50(20) = 2000\). So the number of notes is (20, 10).

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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To find number of notes that Anushka had, complete the following activity. Suppose Anushka had x notes of Rs 100 and y notes of Rs 50 each. Anushka got Rs 2500 from Anand. If Anand had interchanged the number of notes, she would have received Rs ...

1 answer

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